000 03111nam a2200325 i 4500
008 131230s2003 gw m b 000 0 eng d
020 _a3540441247
040 _aBAUN
_beng
_cBAUN
_erda
049 _aBAUN_MERKEZ
050 0 4 _aTJ213
_b.J58 2003
100 1 _aJohansson, Mikael.
245 1 0 _aPiecewise linear control systems :
_ba computational approach /
_cMikael Johansson.
264 1 _aBerlin ;
_aNew York :
_bSpringer,
_c[2003]
264 4 _c©2003
300 _a202 pages :
_billustrations ;
_c24 cm.
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
490 1 _aLecture notes in control and information sciences ;
_v284.
490 1 _aEngineering online library.
504 _aIncludes bibliographical references and index (pages [185]-202)
505 0 0 _tTable Of Contents:
_tIntroduction
_tPiecewise Linear Modeling
_tModel Representation
_tSolution Concepts
_tUncertainty Models
_tModularity and Interconnections
_tPiecewise Linear Function Representations
_tComments and References
_tStructural Analysis
_tEquilibrium Points and the Steady-State Characteristic
_tConstraint Verification and Invariance
_tDetecting Attractive Sliding Modes on Cell Boundaries
_tComments and References
_tLyapunov Stability
_tExponential Stability
_tQuadratic Stability
_tConservatism of Quadratic Stability
_tFrom Quadratic to Piecewise Quadratic
_tInterlude: Describing Partition Properties
_tPiecewise Quadratic Lyapunov Functions
_tAnalysis of Piecewise Linear Differential Inclusions
_tAnalysis of Systems with Attractive Sliding Modes
_tImproving Computational Efficiency
_tPiecewise Linear Lyapunov Functions
_tA Unifying View
_tComments and References
_tDissipativity Analysis
_tDissipativity Analysis via Convex Optimization
_tComputation of L2-induced Gain
_tEstimation of Transient Energy
_tDissipative Systems with Quadratic Supply Rates
_tComments and References
_tController Design
_tQuadratic Stabilization of Piecewise Linear Systems
_tController Synthesis based on Piecewise Quadratics
_tComments and References
_tSelected Topics
_tEstimation of Regions of Attraction
_tRigorous Analysis of Smooth Nonlinear Systems
_tAutomated Partition Refinements
_tFuzzy Logic Systems
_tComments and References
_tLinear Hybrid Dynamical Systems
_tLinear Hybrid Dynamical Systems
_tAnalysis using Discontinuous Lyapunov Functions
_tStability Analysis using Lyapunov Functionals
_tComments and References
_tConcluding Remarks
_tA. Computational Issues
_tLinear and Semidefinite Programming
_tPolyhedra, Polytopes, and Ellipsoids
_tPolyhedral Partitions
_tConstraint Matrices
_tOn the S-procedure in Piecewise Quadratic Analysis
_tComments and References
_tB. Proofs
_tProofs from Chapter 2
_tProofs from Chapter 4
_tProofs from Chapter 5
_tProofs from Chapter 6
_tProofs from Chapter 7
_tProofs from Chapter A
_tC. Bibliography
650 0 _aLinear control systems.
650 0 _aPiecewise linear topology.
830 0 _9108473
_aLecture notes in control and information sciences ;
_v284.
830 0 _9108482
_aEngineering online library.
900 _a35813
900 _bsatın
942 _2lcc
_cKT
999 _c33002
_d33002