Nonlinear Dynamical Systems and Control
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A01=VijaySekhar Chellaboina
A01=Wassim M. Haddad
Addition
Algebraic Riccati equation
Author_VijaySekhar Chellaboina
Author_Wassim M. Haddad
Backstepping
Bellman equation
Bode plot
Category=PBW
Class function (algebra)
Continuous function
Continuous function (set theory)
Control theory
Corollary
Diagonal matrix
Differentiable function
Dissipation
Dissipative system
Division by zero
Dynamical system
Eigenvalues and eigenvectors
Ephesus
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilibrium point
Euler-Lagrange equation
Exponential stability
Feedback linearization
Gratitude
Hamiltonian system
Infimum and supremum
Initial condition
Interconnection
Limit cycle
Limit set
Linear dynamical system
Linearization
Lipschitz continuity
LTI system theory
Lyapunov equation
Lyapunov function
Lyapunov stability
Mathematical optimization
Matrix function
Measurable function
Minimum phase
Negative feedback
Nonlinear control
Nonlinear system
Norm (mathematics)
Optimal control
Parameter
Parseval's theorem
Passivity (engineering)
Phase margin
Polynomial
Positive-definite function
Positive-definite matrix
Riccati equation
Robust control
Singular value
Smoothness
Special case
Stability theory
State space
State variable
State-space representation
Subset
Supply (economics)
Theorem
Time-invariant system
Transfer function
Uncertainty
Uniqueness
Vector field
Without loss of generality
Product details
- ISBN 9780691133294
- Weight: 1871g
- Dimensions: 178 x 254mm
- Publication Date: 17 Feb 2008
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions.
A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Wassim M. Haddad is professor of aerospace engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is associate professor of mechanical, aerospace, and biomedical engineering at the University of Tennessee. They are the coauthors of "Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control" and "Thermodynamics: A Dynamical Systems Approach" (both Princeton).
