NDLI: The stability and invariants of control systems with pitchfork or cusp bifurcations

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Index of Authors, Speakers, Chairpersons and Organizers

Switching through singularities

Approximate feedback linearization around a trajectory: application to trajectory planning

Singularity in dynamic state feedback linearization

Approximate feedback linearization of nonlinear systems: a data-based direct design approach

Canonical forms for stochastic nonlinear systems

Generalized controlled invariance for nonlinear systems: further results

Singular PDE's and the single-step formulation of feedback linearization with pole-placement

Storage functions for dissipative linear systems are quadratic state functions

Task re-encoding in vision-based control systems

A generalized incentive manifold in control and state space for leader-follower control strategies

Controllability of linear feedback control systems with communication constraints

Measurement selection for partially controlled systems

Release policy governor (RPG) for re-entrant semiconductor fabrication lines

Asymptotically optimal policies of production planning and preventive maintenance

An inventory problem with fluctuating demand and production dependent failure rate

Hybrid control of a manufacturing transport system

Dynamic control of a multiclass queue with setups and lost sales

Visually servoed microspositioning for assembly of hybrid MEMS: theory and experiments

Time-optimal control for re-entrant semiconductor fabrication lines

Timed automata and robust control: can we now control complex dynamical systems?

Hybrid closed loop systems: a nonlinear control perspective

Stability of hybrid systems: state of the art

Toward a general stability theory for hybrid dynamical systems

Multi-objective hybrid controller synthesis: least restrictive controls

Optimal control of a class of hybrid systems

On the relationship between identification and local tests

LFT uncertain model validation with time and frequency domain measurements

Algorithms for robust identification in H/sub /spl infin// with nonuniformly spaced frequency response data

System identification by dynamic factor models

Uncertainty model unfalsification

Minimal state space realization for transfer functions represented by coefficients using generalized orthonormal basis

/spl alpha/-optimality evaluation in H/sub /spl infin// identification of low-order uncertainty models

Output feedback controllers for disturbance attenuation with bounded control

H/sub /spl infin// control synthesis via reduced order LMIs

Convex parametrization of reduced order controllers for a class of problems under partial state measurements

Output feedback robust stabilization of uncertain linear systems with saturating controls

Exponential stability analysis of nonlinear systems using LMIs

Mixed H/sub 2//H/sub /spl infin// control problem for descriptor systems via LMI

Lyapunov design of excitation control for synchronous machines

Observer-based adaptive control of a variable reluctance motor: experimental results

Robust control for induction motors based on differential algebra

An experimental comparison of several nonlinear controllers for power converters

Parallel versus cascade schemes for DC-motor speed and current control

Passivity based sensorless control of a smooth rotor permanent magnet synchronous motor

Boundary control of the Timoshenko beam with free-end mass/inertial dynamics

Partial states feedback two-time scale control of elastic beams subjected to moving vibratory systems

On the control of a flexible beam colliding against an infinitely rigid and massive obstacle

Model reference adaptive control of distributed parameter systems

Distributed parameter control of a large space structure with lumped and distributed flexibility

Learning and H/sub /spl infin// control of an overhead crane for obstacle avoidance and disturbance rejection

Discrete-time H/sub 2//H/sub /spl infin// control of an acoustic duct: delta-domain design and experimental results

Feedback control of nonlinear systems based on tangent linearisation using the multiple shooting method

Weighted optimization for multiobjective full-information control problems

Singular arcs and output tracking

Turnpike property of optimal solutions of infinite-horizon variational problems

The degeneracy phenomenon in optimal control problems with state contraints

The surrogate gradient algorithm for Lagrangian relaxation method

Sufficient conditions for domains optimization problems with functional depending on the gradient

The decoupling problem with weak output controllability for systems over a ring

Block triangular decoupling and pole assignment for linear systems over principal ideal domains

Feedback stabilization over commutative rings: two-stage feedback stabilization approach

On (A+BF)-invariance for systems over a principal ideal domain

Positive realization in canonical form of the 2D Roesser type model

Procedures for testing strong stabilizability of n-D systems

Set-valued methods for the output feedback control of systems with control saturation

H/sub 2/ guaranteed cost control for uncertain discrete-time systems under state and control constraints

Design of deadbeat control system considering worst case steady-state tracking performance

On approximate pulse transfer functions

Robust digital friction compensation

Stability analysis of nonlinear sampled-data systems

Anticontrol of chaos via feedback

Bifurcation analysis and control of nonlinear systems with a nonsemisimple zero at criticality and application

The stability and invariants of control systems with pitchfork or cusp bifurcations

On synchronization of chaotic systems

Hogg-Huberman strategy with net bias in chaotic discrete-time computational ecosystems

Control of bifurcations and chaos in heart rhythms

Tracking inherent periodic orbits in chaotic system via adaptive time delayed self-control

Gain-scheduling for systems with repeated scalar nonlinearities

Gain scheduled control of nonlinear systems based on the linear-model-sets identification method

Gain-scheduled control of a magnetic bearing with low bias flux

Analysis of gain-scheduled and nonlinear systems by velocity-based linearisation families

Equivalence of gain-scheduling and input-output linearisation for a class of commonly occurring plants

Control of a kneeless biped through gain scheduling

Linearly combined suboptimal mixed H/sub 2//H/sub /spl infin// controllers

Multiobjective control: an overview

Robustness analysis with mixed performance objectives

Mixed-norm H/sub 2//L/sub 1/ controller synthesis via fixed-order dynamic compensation: a Riccati equation approach

Multiobjective H/sub /spl infin// problems: linear and nonlinear control

Mixed H/sub 2//H/sub /spl infin// optimization: a BMI solution

Multiobjective control for continuous time MIMO systems via deadbeat regulation

A stable neural network-based adaptive control scheme for a class of nonlinear plants

Neural networks for optimal control

Robust backstepping control of nonlinear systems in discrete-time using multilayer neural networks

Some properties for improved information storage and retrieval in Hopfield-type neural networks

Modelling monetary policy using SPSA-based neural networks

Average cost temporal-difference learning

Robust PCA based on neural networks

Adaptive observers for structurally perturbed infinite dimensional systems

Nonselfadjoint operators and controllability of damped string

Weighted H/sup /spl infin// mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control

Optimal control of state-constrained parabolic systems with nonregular boundary controllers

Robustly stabilizing controllers for dissipative infinite-dimensional systems with colocated actuators and sensors

Suppression of vibration in stretched strings by the boundary control

Exponential forgetting and geometric ergodicity in hidden Markov models

A Lyapunov criterion for mean square stability of nonlinear stochastic evolution equations

On the exponential stability of stochastic Markovian jump systems

Stochastic nonlinear Lyapunov stabilization and inverse optimality

Feedback stabilization of nonlinear stochastic systems: a passive system approach

Stabilization of nonlinear stochastic systems using control Lyapunov function

Robust stochastic stability of discrete-time linear systems with Markovian jumping parameters

Point-mass filter and Cramer-Rao bound for terrain-aided navigation

Racing with the Sun: the optimal use of the solar power automobile

Reinforcement learning for MDPs using temporal difference schemes

Information inequalities, rate of adaptation and nonlinear identification in adaptive stochastic control

Weighted least squares and continuous time adaptive LQG control

Large deviations for quadratic forms of Gaussian stationary processes with applications

Balanced canonical forms for system identification

Analysis of minimum phase properties for non-affine nonlinear systems

Nonlinear controllers for nonlinear systems with input nonlinearities

Control of nonlinear chained systems. From the Routh-Hurwitz stability criterion to time-varying exponential stabilizers

Control of a class of multivariable nonlinear systems without vector relative degrees: a backstepping approach

Nonlinear control systems with impulsive inputs

Integral chains of multivariable nonlinear systems

Biased norms and robustness analysis for nonlinear feedback systems

Passivibility of nonlinear systems

A note on nonlinear /spl Hscr//sub /spl infin// control of two-block interconnected systems

Further results on linearization of nonlinear systems by input-output injection

On the domain of validity of nonlinear H/sub /spl infin// control

H/sup /spl infin// control for general discrete-time nonlinear systems

Ordinal optimization for deterministic and stochastic discrete resource allocation

Single sample path based optimization of Markov systems: examples and algorithms

On the role of large deviation principle in ordinal comparison for discrete event dynamic systems

Adaptive dispatching control for elevator systems during uppeak traffic

Sensitivity analysis of machine schedules with multi-priority job classes

Discrete event reference control

Logic, topological semantics and hybrid systems

Symbolic analysis of hybrid systems

The use of SHIFT in system design

Viability of controllers for hybrid machines

A Petri net approach to fault detection and diagnosis in distributed systems. I. Application to telecommunication networks, motivations, and modelling

A Petri net approach to fault detection and diagnosis in distributed systems. II. Extending Viterbi algorithm and HMM techniques to Petri nets

Bounded error parameter estimation: a sequential analytic center approach

Time-domain identification using ARMARKOV/Toeplitz models with quasi-Newton update

Optimal sampling schedule for polynomial models with l/sub 2/ and l/sub /spl infin// set membership errors

Persistent identification of unstable LTV systems

Consistent parameter estimation of system transfer functions irrespective of noise dynamics

Optimal and suboptimal /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// estimators for set membership identification

LMI-based algorithms for frequency weighted optimal H/sub 2/-norm model reduction

General framework and BMI formulae for simultaneous design of structure and control systems

An LMI condition for stability of implicit systems

BMI global optimization based on branch and bound method taking account of the property of local minima

A review and comparison of guaranteed cost bounds for robust stability and performance analysis

Integrated /spl Hscr//sub /spl infin// plant/controller design via linear matrix inequalities

Robust control of rigid robots

High-quality bounded robust robot stabilizing control

Nonlinear dynamics and tracking control of robotic manipulators

Global stabilization of uncertain mechanical systems

Control of nonlinear robotic manipulators

Gas-source molecular beam epitaxy and a formulation for the growth control of a class of quaternary materials

Optimal time control of sequencing batch reactors for industrial wastewater treatment

Using genetic algorithms for dynamic optimization: an industrial fermentation case

Efficient CFD modeling of single wafer semiconductor fabrication systems for closed-loop evaluation

A non-model-based controller used in process control

Mathematical model of negative control of E-coli bacteria

Nonlinear estimation of misalignment errors in adaptive optics

An integrated approach to modeling and control of flexible structures via /spl Lscr//sub /spl infin// loopshaping

Nonlinear identification of an irrigation system

Robust identification and control design for engine mount

Toward real-time estimation of surface evolution in plasma etching: isotropy, anisotropy, and self-calibration

State estimation via a capacity-limited communication channel

Delta-operator based signal processing: fast algorithms for rapidly sampled data

Consistent state-discretization of linear systems

Delta-operator predictive control

Some approaches on how to use the delta operator when identifying continuous-time processes

Efficient stability tests: unifying theory and further results using the delta operator

Robust stability of interval polynomial sets in discrete-time

Feedback stabilization of discrete-time systems via the generalized Hermite-Biehler theorem

Further results on stability of asynchronous discrete-time linear systems

Stabilization of periodic discrete-time nonlinear systems

Control Lyapunov stabilization of affine discrete-time systems

Polyhedral regions of local stability for linear discrete-time systems with saturating controls

Nonlinear decoupling with stability via static state feedback for a class of discrete-time systems

A guaranteed performance flux observer for induction machines

A robust adaptive control method for manipulators subject to random disturbances

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The stability and invariants of control systems with pitchfork or cusp bifurcations

Content Provider	IEEE Xplore Digital Library
Author	Wei Kang Ke Liang
Copyright Year	1997
Description	Author affiliation: Dept. of Math., Naval Postgraduate Sch., Monterey, CA, USA (Wei Kang)
Abstract	The control of bifurcation by state feedback for nonlinear systems with cubic degeneracy is addressed in this paper. Normal forms and invariants are employed to classify the bifurcations of the closed-loop systems. It is proved that, for systems with uncontrollable linearization, the closed-loop system under state feedback usually has either pitchfork or cusp bifurcations if the quadratic degeneracy condition does not hold. Cubic invariants are found to characterize the bifurcations of the closed-loop systems. It is also proved that the cusp or pitchfork bifurcations addressed in this paper can be rendered supercritical by state feedbacks under some weak conditions.
Starting Page	378
Ending Page	383
File Size	520938
Page Count	6
File Format	PDF
ISBN	0780341872
ISSN	01912216
DOI	10.1109/CDC.1997.650652
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-12-12
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Control systems Bifurcation State feedback Mathematics Nonlinear control systems Nonlinear systems Linear feedback control systems Hysteresis Polynomials
Content Type	Text
Resource Type	Article

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